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Totally geodesic orbits of isometries

Fabio Podesta·Luigi Verdiani
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Abstract

We study cohomogeneity one Riemannian manifolds and we establish some simple criterium to test when a singular orbit is totally geodesic. As an application, we classify compact, positively curved Riemannian manifolds which are acted on isometrically by a non semisimple Lie group with an hypersurface orbit.

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Fabio Podesta, Luigi Verdiani. 1997-11-17. Totally geodesic orbits of isometries. https://arxiv.org/abs/dg-ga/9711012

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